Answer:
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Answer: To add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.
The answer is: " -21 " .
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We are asked to solve for: "6t" ; which is: "6 * t" .
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Given: 3t − 7 = 5t ; Solve for "t" ; then solve for "6t" ;
3t − 7 = 5t ; Subtract "3t" from each side of the equation;
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3t − 7 − 3t = 5t − 3t ;
to get: -7 = 2t ;
Divide EACH side of the equation by "2" ; to isolate "t" on one side of the equation; and to solve for "t" ;
-7/2 = 2t / 2 ;
-3.5 = t ; ↔ t = - 3.5 ;
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Now, solve for "6t" ;
6 t = 6*(-3.5) = - 21 . The answer is: " -21 " .
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If it is rational, it has a terminating decimal or a repeated decimal number (ex. 56, or 1.25, or 3.666...)
If it is irrational, it is an ongoing number with no pattern (ex. 3.14159265... Which is pi)
